Dust Control in Finite Air Volumes at Zero Gravity - Mean-Field Like Analysis

dc.creatorMohan, T. R. Krishna
dc.creatorSen, Surajit
dc.date2004-04-08
dc.date.accessioned2026-07-07T02:57:31Z
dc.date.available2026-07-07T02:57:31Z
dc.descriptionWe study a simple 1D model of dust rods, with mean size μ, passing through a parallel 1D alignment of pores as a problem of clogging of a filter by dust grains; μis kept less than the pore size, s. We assume that the filter is "sticky", characterized by some parameter 0 \le λ\le 1, which means that dust grains slightly smaller in size than s can get trapped in the pores. Our analyses suggest that the number of clogged pores, N_{cl}, grows in time as t_N^{clog} \propto N_{cl}^ν, where ν= ν(μ,λ) is a non-universal exponent that depends upon the dust size distribution and filter properties.
dc.description4 pages, 4 figures; 1.8 MB pdf file; Submitted to Physical Review Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/0404219
dc.identifierhttp://arxiv.org/abs/cond-mat/0404219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23701
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleDust Control in Finite Air Volumes at Zero Gravity - Mean-Field Like Analysis
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